In the figure above, the point \(H\) is the perpendicular foot from point \(A\) on \(\overrightarrow{OB}.\) If \(\lvert\overline{OA}\rvert=7,\lvert\overline{OB}\rvert=9,\) and \(\lvert\overline{OH}\rvert=5,\) what is \(\overrightarrow{OA}\cdot\overrightarrow{OB}?\)

Note: The figure is not drawn to scale.

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